A Multiparticle Lattice-Gas Model for Hydrodynamics

A. Masselot () and B. Chopard ()
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A. Masselot: Computer Science Department, University of Geneva, 24 rue General-Dufour 1211 Geneva 4, Switzerland
B. Chopard: Computer Science Department, University of Geneva, 24 rue General-Dufour 1211 Geneva 4, Switzerland

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 08, 1221-1230

Abstract: Cellular automata (CA) and lattice-Boltzmann (LB) models are two possible approaches to simulate fluid-like systems. CA models keep track of the many-body correlations and provide a description of the fluctuations. However, they lead to a noisy dynamics and impose strong restrictions on the possible viscosity values. On the other hand, LB models are numerically more efficient and offer much more flexibility to adjust the fluid parameters, but they neglect fluctuations. Here we discuss a multiparticle lattice model which reconciles both approaches. Our method is tested on Poiseuille flows and on the problem of ballistic annihilation in two dimensions for which the fluctuations are known to play an important role.

Keywords: Lattice Gas; Lattice-Boltzmann; Multiparticle; Hydrodynamics; Ballistic Annihilation (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198001102

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